What is the Greatest Common Factor of 39160 and 39170?

Greatest common factor (GCF) of 39160 and 39170 is 10.

GCF(39160,39170) = 10

We will now calculate the prime factors of 39160 and 39170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39160 and 39170.

How to find the GCF of 39160 and 39170?

We will first find the prime factorization of 39160 and 39170. After we will calculate the factors of 39160 and 39170 and find the biggest common factor number .

Step-1: Prime Factorization of 39160

Prime factors of 39160 are 2, 5, 11, 89. Prime factorization of 39160 in exponential form is:

39160 = 2³ × 5¹ × 11¹ × 89¹

Step-2: Prime Factorization of 39170

Prime factors of 39170 are 2, 5, 3917. Prime factorization of 39170 in exponential form is:

39170 = 2¹ × 5¹ × 3917¹

Step-3: Factors of 39160

List of positive integer factors of 39160 that divides 39160 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 89, 110, 178, 220, 356, 440, 445, 712, 890, 979, 1780, 1958, 3560, 3916, 4895, 7832, 9790, 19580

Step-4: Factors of 39170

List of positive integer factors of 39170 that divides 39160 without a remainder.

1, 2, 5, 10, 3917, 7834, 19585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39160 and 39170. The biggest common factor number is the GCF number.
So the greatest common factor 39160 and 39170 is 10.

Also check out the Least Common Multiple of 39160 and 39170